Interval models of nonequilibrium physicochemical processes

The paper discusses the application of the adaptive interpolation algorithm to problems of chemical kinetics and gas dynamics with interval uncertainties in reaction rate constants. The values of the functions describing the reaction rate may differ considerably if they have been obtained by differe...

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Bibliographic Details
Published in:Discrete and continuous models and applied computational science Vol. 33; no. 2; pp. 184 - 198
Main Authors: Morozov, Alexander Yu, Reviznikov, Dmitry L., Gidaspov, Vladimir Yu
Format: Journal Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 15.07.2025
Subjects:
adaptive interpolation algorithm
chemical kinetics
gas dynamics
interval parameters
interval velocity constants
nozzle
rocket engine
standing detonation wave
ISSN:2658-4670, 2658-7149
Online Access:Get full text
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Summary:The paper discusses the application of the adaptive interpolation algorithm to problems of chemical kinetics and gas dynamics with interval uncertainties in reaction rate constants. The values of the functions describing the reaction rate may differ considerably if they have been obtained by different researchers. The difference may reach tens or hundreds of times. Interval uncertainties are proposed to account for these differences in models. Such problems with interval parameters are solved using the previously developed adaptive interpolation algorithm. On the example of modelling the combustion of a hydrogen-oxygen mixture, the effect of uncertainties on the reaction process is demonstrated. One-dimensional nonequilibrium flow in a rocket engine nozzle with different nozzle shapes, including a nozzle with two constrictions, in which a standing detonation wave can arise, is simulated. A numerical study of the effect of uncertainties on the structure of the detonation wave, as well as on steadyystate flow parameters, such as the ignition delay time and the concentration of harmful substances at the nozzle exit, is performed.
ISSN:2658-4670
2658-7149
DOI:10.22363/2658-4670-2025-33-2-184-198